Abstract: Matrix models, seen as quantum field theoretical models, are known to represent a successful approach to 2D quantum gravity and to have many other interesting applications in both Physics and Mathematics. Some of the main results of the study of matrix models in theoretical physics are the large N limit (the perturbative series can be reorganized in powers of 1/N (N being the matrix size)) and the double scaling limit mechanism. Matrix models further generalize in a natural way to multi-matrix models, known to be related to the large D limit of Einstein equations, and also to tensor models. In this talk I will present the implementation of the large N limit and the double scaling limit mechanisms for various multi-matrix and tensor models. In the last part of the talk I will present how tensor models have been related (initially by Witten and then by Klebanov and Tarnopolsky) to the Sachdev-Ye-Kitaev model, which is known to be a particularly interesting toy model for holography.